Effective Constitutive Equations for Porous Elastic Materials at Finite Strains and Superimposed Finite Strains-Reference-Cited by-同舟云学术

Effective Constitutive Equations for Porous Elastic Materials at Finite Strains and Superimposed Finite Strains

Published:2003-11-01 Issue:6 Volume:70 Page:809-816
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Levin V. A.¹,Zingermann K. M.²

Affiliation:

1. Department of Mechanics and Mathematics, Moscow State University, Moscow 119899, Russia

2. Department of Applied Mathematics and Computer Science, Tver State University, Tver 170000, Russia

Abstract

A method is developed for derivation of effective constitutive equations for porous nonlinear-elastic materials undergoing finite strains. It is shown that the effective constitutive equations that are derived using the proposed approach do not change if a rigid motion is superimposed on the deformation. An approach is proposed for the computation of effective characteristics for nonlinear-elastic materials in which pores are originated after a preliminary loading. This approach is based on the theory of superimposed finite deformations. The results of computations are presented for plane strain, when pores are distributed uniformly.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/70/6/809/5470431/809_1.pdf

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